Question

Lon Min has developed a specialized airtight vacuum bag to extend the freshness of seafood shipped to restaurants. He has put together the following demand cost data:

Initial inventory = 250 unitsRegular time cost = $1.00/unitOvertime cost = $1.50/unitSubcontracting cost = $2.00/unitCarrying cost = $0.50/unit/quarterBack-order cost = $0.50/unit/quarterMin decides that the initial inventory of 250 units will incur the 20ϕ/unit cost from each prior quarter (unlike the situation in most companies, where a 0 unit cost is assigned).(a) Find the optimal plan using the transportation method.(b) What is the cost of the plan?(c) Does any regular time capacity go unused? If so, how much in which periods?(d) What is the extent of backordering in units anddollars?